Publication details

On nonoscillatory solutions of fourth-order differential equations

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Authors

BARTUŠEK Miroslav

Year of publication 2001
Type Article in Proceedings
Conference Proceedings of Dynamic systems and applications
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Nonoscillatory solutions; fourth-order equations with middle term
Description The fourth-order differential equation in the self-adjoint form y''''-(qy')'+rf(y)=0 is studied where r>=0 and f(x)x>0 for x is different from zero.All nonoscillatory solutions are divided into the classes according to oscillatory/nonoscillatory characters of y,y',y'', y''',and sufficient conditions are given for these classes to be empty.
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